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Sierpiński Arrowhead Curve


SierpinskiArrowhead

A fractal which can be written as a Lindenmayer system with initial string "YF", string rewriting rules "X" -> "YF+XF+Y", "Y" -> "XF-YF-X", and angle 60 degrees.


See also

Dragon Curve, Hilbert Curve, Koch Snowflake, Lindenmayer System, Peano Curve, Peano-Gosper Curve, Sierpiński Curve, Sierpiński Sieve

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References

Dickau, R. M. "Two-Dimensional L-Systems." http://mathforum.org/advanced/robertd/lsys2d.html.Mandelbrot, B. B. The Fractal Geometry of Nature. New York: W. H. Freeman, p. 142, 1983.

Referenced on Wolfram|Alpha

Sierpiński Arrowhead Curve

Cite this as:

Weisstein, Eric W. "Sierpiński Arrowhead Curve." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SierpinskiArrowheadCurve.html

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